I believe it is 120. * * * * * That is a belief which may or may not be justified. I suggest 76, with the following justification: Fit the polynomial t(n) = (9x4 - 82x3 + 279x2 -398x + 216)/24 for n = 1, 2, 3, etc.
I didn't know how much you needed so I went up to 82x82. 82x1=82, 82x2=164, 82x3=246, 82x4=328, 82x5=410, 82x6=492, 82x7=574, 82x8=656, 82x9=738, 82x10=820, 82x11=902, 82x12=984, 82x13=1066, 82x14=1148, 82x15=1230, 82x16=1312, 82x17=1394, 82x18=1476, 82x19=1558, 82x20=1640, 82x21=1722, 82x22=1804, 82x23=1886, 82x24=1968, 82x25=2050, 82x26=2132, 82x27=2214, 82x28=2296, 82x29=2378, 82x30=2460, 82x31=2542, 82x32=2624, 82x33=2706, 82x34=2788, 82x35=2870, 82x36=2952, 82x37=3034, 82x38=3116, 82x39=3198, 82x40=3280, 82x41=3362, 82x42=3444, 82x43=3526, 82x44=3608, 82x45=3690, 82x46=3772, 82x47=3854, 82x48=3936, 82x49=4018, 82x50=4100, 82x51=4182, 82x52=4264, 82x53=4346, 82x54=4428, 82x55=4510, 82x56=4592, 82x57=4674, 82x58=4756, 82x59=4838, 82x60=4920, 82x61=5002, 82x62=5084, 82x63=5166, 82x64=5248, 82x65=5330, 82x66=5412, 82x67=5494, 82x68=5576, 82x69=5658, 82x70=5740, 82x71=5822, 82x72=5904, 82x73=5986, 82x74=6068, 82x75=6150, 82x76=6232, 82x77=6314, 82x78=6396, 82x79=6478, 82x80=6560, 82x81=6642, 82x82=6724